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The Board of Trustees of the American Mathematical Society, expressing its belief that a great deal of time would be saved for mathematicians if they could study a textbook of Russian precisely adapted to their needs, granted to the present author nine months leave of absence from his duties as Editor of Translations. To the Board, and to Gordon L. Walker, the Exec utive Director of the Society, who took the initiative in this matter with his customary energy and good will, the author is deeply gratefUl for the opportunity to write such a book. For indispensable help and advice in the...

This manual is intended for mathematicians who are fairly well acquainted with Russian and have a need to translate mathematical materials into English. Both of the editors worked extensively with such translations and, in the process of their work, kept records of problems, both grammatical and stylistic, that commonly turned up. The main part of the booklet presents typical examples: first the Russian text is given, then the faulty translation, an acceptable translation, and usually some comments. Although such a manual cannot be exhaustive, it does deal with many common mistakes and...